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"Finally, we thank Sloane for the OEIS [12] which facilitated our making the connection between fence tilings and strongly restricted permutations." [K. Edwards and M. A. Allen, 2015]

"We learned about Lehmer's Theorem 1 via serendipity, thanks to that amazing tool that we are so lucky to have, the On-Line Encyclopedia of Integer Sequences [S] (OEIS). ... the present paper is yet another paper that owes its existence to the OEIS!" [Shalosh B. Ekhad and Doron Zeilberger, 2018]

"For the proof of Lemma 9, the author is indebted to Axel Hultman and Sloane's On-Line Encyclopedia of Integer Sequences." [N. Eriksen, 2005]

About this page

  • This is part of the series of OEIS Wiki pages that list works citing the OEIS.
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  • Works are arranged in alphabetical order by author's last name.
  • Works with the same set of authors are arranged by date, starting with the oldest.
  • This section lists works in which the first author's name begins with E.
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  1. Jason Earls, A note on the Smarandache divisors of divisors sequence and two similar sequences, Smarand. Notions J. 14 (1) (2004) 274-275. See also PDF (A009287, A075721)
  2. Jason Earls, On Smarandache repunit n numbers, in Smarandache Notions Journal (2004), Vol. 14.1, pp 251-258. PDF. (A068817, A075842, A075858, A075859)
  3. Jason Earls, Smarandache iterations of the first kind on functions involving divisors and prime factors, Smarand. Notions J. 14 (1) (2004) 259-264. See also PDF (A060682, A074347, A074348, A075660, A075661, A074348)
  4. Jason Earls, Some Smarandache-type sequences and problems concerning abundant and deficient numbers, Smarand. Notions J. 14 (1) (2004) 265-270. See also PDF (A074037)
  5. Jason Earls, The Smarandache sum of composites between factors function, in Smarandache Notions Journal (2004), Vol. 14.1, pp 243-250. PDF. (A000203, A000396, A002034, A005101, A011772)
  6. E. Early, Chain Lengths in the Dominance Lattice, 2002. Presented at FPSAC '03. Discrete Math., 313 (2013), 2168-2177.
  7. Edward Early, Chain Lengths in the Dominance Lattice, June 8, 2013;
  8. Nick Early, Combinatorics and Representation Theory for Generalized Permutohedra I: Simplicial Plates, arXiv preprint arXiv:1611.06640, 2016
  9. Nick Early, Generalized Permutohedra, Scattering Amplitudes, and a Cubic Three-Fold, arXiv:1709.03686 [math.CO], 2017
  10. Nick Early, Canonical Bases for Permutohedral Plates, arXiv:1712.08520 [math.CO], 2017. (A079641)
  11. Nick Early, Honeycomb tessellations and canonical bases for permutohedral blades, arXiv:1810.03246 [math.CO], 2018. (A001813, A028246, A142459)
  12. J. East, R. D. Gray, Idempotent generators in finite partition monoids and related semigroups, arXiv preprint arXiv:1404.2359, 2014.
  13. James East, Nicholas Ham, Lattice paths and submonoids of Z^2, arXiv:1811.05735 [math.CO], 2018. (A000930, A001850, A006318, A008288, A033877, A052709, A071943, A080247, A085478, A143330, A257365)
  14. James East, Jitender Kumar, James D. Mitchell, Wilf A. Wilson, Maximal subsemigroups of finite transformation and diagram monoids, arXiv:1706.04967 [math.GR], 2017. (A000045, A000225, A000931, A008472, A016116, A052955, A059957, A083399, A131520, A131898, A290140, A290289, A290938)
  15. James East, Ron Niles, Integer polygons of given perimeter, arXiv preprint arXiv:1710.11245, 2017
  16. James East, A Vernitski, Ranks of ideals in inverse semigroups of difunctional binary relations, arXiv preprint arXiv:1612.04935, 2016
  17. M. Eastwood, The X-ray transform on projective space
  18. MICHAEL EASTWOOD AND HUBERT GOLDSCHMIDT, Zero-energy fields on complex projective space, arXiv:1108.1602, 2011.
  19. Daniel T. Eatough, Keith A. Seffen, Calculating the Fold Angles of Any Vertex Roof Using a Spherical Image Technique, J. Mechanisms Robotics (2020) Vol. 12, No. 3, 031004. doi:10.1115/1.4045422 (A000011)
  20. Sean Eberhard, F Manners, R Mrazovic, Additive triples of bijections, or the toroidal semiqueens problem, arXiv preprint arXiv:1510.05987, 2015
  21. Kurusch Ebrahimi-Fard and Dominique Manchon, Dendriform Equations (2008); arXiv:0805.0762
  22. Edel, Yves; Elsholtz, Christian; Geroldinger, Alfred; Kubertin, Silke; Rackham, Laurence, Zero-sum problems in finite abelian groups and affine caps. Q. J. Math. 58 (2007), no. 2, 159-186.
  23. A. Edelman, M. La Croix, The Singular Values of the GUE (Less is More), arXiv preprint arXiv:1410.7065, 2014
  24. G. A. Edgar, Transseries for beginners, arXiv:0801.4877.
  25. Tom Edgar, Totienomial Coefficients, INTEGERS, 14 (2014), #A62.
  26. Tom Edgar, On the number of hyper m-ary partitions, Integers (2018) 18, Article #A47. Abstract (A002487)
  27. Tom Edgar, Hailey Olafson, James Van Alstine, APPROXIMATING THE FIBONACCI SEQUENCE, Integers 16 (2016), #A63.
  28. Tom Edgar and Michael Z. Spivey, Multiplicative functions, generalized binomial coefficients, and generalized Catalan numbers, Journal of Integer Sequences, Vol. 19 (2016), Article 16.1.6.
  29. A. L. Edmonds and S, Klee, The combinatorics of hyperbolized manifolds, arXiv preprint arXiv:1210.7396, 2012
  30. Charles C. Edmunds, Edmond W. H. Lee, Ken W. K. Lee, Small semigroups generating varieties with continuum many subvarieties, Order 27 (2010) 83-100; doi:10.1007/s11083-010-9142-8
  31. Marcia Edson, Scott Lewis and Omer Yayenie, THE K-PERIODIC FIBONACCI SEQUENCE AND AN EXTENDED BINET'S FORMULA, INTEGERS 11 (2011) #A32.
  32. K. Edwards, A Pascal-like triangle related to the tribonacci numbers, Fib. Q., 46/47 (2008/2009), 18-25.
  33. K. Edwards, M. A. Allen, Strongly restricted permutations and tiling with fences, Discrete Applied Mathematics, Volume 187, 31 May 2015, Pages 82–90 ["Finally, we thank Sloane for the OEIS [12] which facilitated our making the connection between fence tilings and strongly restricted permutations."]
  34. Kenneth Edwards, Michael A. Allen, A new combinatorial interpretation of the Fibonacci numbers squared, arXiv:1907.06517 [math.CO], 2019. (A000213, A000930, A001333, A002478). Also Fib. Q., 57:5 (2019), 48-53.
  35. Kenneth Edwards, Michael A. Allen, A new combinatorial interpretation of the Fibonacci numbers squared, Part II, Fib. Q., 58:2 (2020), 169-177.
  36. Kenneth Edwards, Michael A. Allen, New Combinatorial Interpretations of the Fibonacci Numbers Squared, Golden Rectangle Numbers, and Jacobsthal Numbers Using Two Types of Tile, arXiv:2009.04649 [math.CO], 2020. (A000045, A000124, A000930, A001045, A001654, A002620, A003269, A003600, A006498, A007598, A017817, A059259, A059260, A071921, A123521, A158909, A335964)
  37. Steven Edwards and W. Griffiths, Generalizations of Delannoy and cross polytope numbers, Fib. Q., 55 (2017), 356-366.
  38. Steven Edwards, William Griffiths, On Generalized Delannoy Numbers, J. Int. Seq., Vol. 23 (2020), Article 20.3.6. HTML (A002415, A005893, A008288, A034827, A051890, A058331, A093328, A097080, A142978)
  39. Dmitry Efimov, Determinants of generalized binary band matrices, arXiv:1702.05655 [math.RA], 2017.
  40. Dmitry Efimov, The hafnian of Toeplitz matrices of a special type, perfect matchings and Bessel polynomials, arXiv:1904.08651 [math.CO], 2019. (A001515, A278990)
  41. A. L. Efros and E. V. Tsiper, An unusual metallic phase in a chain of strongly interacting particles, J. Phys.: Cond. Matt. (Letter) 9, L561-L567 (1997).
  42. S. Eger, The Combinatorics of String Alignments: Reconsidering the Problem, Journal of Quantitative Linguistics, Volume 19, Issue 1, 2012; doi:10.1080/09296174.2011.638792
  43. S. Eger, Restricted Weighted Integer Compositions and Extended Binomial Coefficients, Journal of Integer Sequences, 16 (2013), #13.1.3.
  44. S. Eger, Stirling's Approximation for Central Extended Binomial Coefficients, American Mathematical Monthly, 121 (2014), 344-349.
  45. Steffen Eger, On the Number of Many-to-Many Alignments of N Sequences, arXiv:1511.00622 [math.CO], 2015.
  46. Eric S. Egge, Restricted colored permutations and Chebyshev polynomials, Discrete Mathematics, Volume 307, Issue 14, 28 June 2007, Pages 1792-1800.
  47. Eric S. Egge, Defying God: The Stanley-Wilf Conjecture, Stanley-Wilf Limits, and a Two-Generation Explosion of Combinatorics, pp. 65-82 of "A Century of Advancing Mathematics", ed. S. F. Kennedy et al., MAA Press 2015;
  48. ES Egge, K Rubin, Snow Leopard Permutations and Their Even and Odd Threads, arXiv preprint arXiv:1508.05310, 2015
  49. Eggleton, Roger B. "Midpoint-free subsets of the real numbers.", Int. J. Comb. 2014 ID 214637
  50. Eggleton, Roger B. "Maximal Midpoint-Free Subsets of Integers." International Journal of Combinatorics Volume 2015, Article ID 216475, 14 pages; doi:10.1155/2015/216475;
  51. Roger B. Eggleston, Equisum Partitions of Sets of Positive Integers, Algorithms (2019) Vol. 12, Article 164. doi:10.3390/a12080164 (A000396)
  52. R. B. Eggleton and M. Morayne, A Note on Counting Homomorphisms of Paths, Graphs and Combinatorics November 2012, doi:10.1007/s00373-012-1261-0.
  53. Egorychev, Georgy P.; Zima, Eugene V. Decomposition and group theoretic characterization of pairs of inverse relations of the Riordan type. Acta Appl. Math. 85 (2005), no. 1-3, 93-109.
  54. Georgy P. Egorychev, Eugene V. Zima, Integral Representation and Algorithms for Closed Form Summation, Handbook of Algebra, Volume 5, 2008, Pages 459-529.
  55. M. Egozcue, S. Massoni, W,-K. Wong and R. Zitikis, Integration-segregation decisions under general value functions:"Create your own bundle-choose 1, 2, or all 3!", Documents de Travail du Centre d'Economie de la Sorbonne, #2012.57, 2012;
  56. Tohru Eguchi, Kazuhiro Hikami, Superconformal Algebras and Mock Theta Functions (2008) arXiv:0812.1151
  57. Richard Ehrenborg and N. Bradley Fox, The Descent Set Polynomial Revisited, arXiv:1408.6851, 2014.
  58. Richard Ehrenborg, Gábor Hetyei, Margaret Readdy, Classification of uniform flag triangulations of the Legendre polytope, arXiv:1901.07113 [math.CO], 2019. (A009766)
  59. R. Ehrenborg, S. Kitaev, E. Steingrimsson, Number of cycles in the graph of 312-avoiding permutations, arXiv preprint arXiv:1310.1520, 2013
  60. D. Ehrmann, Z. Higgins, V. Nitica, The Geometric Structure of Max-Plus Hemispaces, arXiv preprint arXiv:1402.2857, 2014.
  61. Bettina Eick, Michael Vaughan-Lee, Counting p-groups and Lie algebras using PORC formulae, Journal of Algebra (2019). doi:10.1016/j.jalgebra.2019.02.034
  62. Omer I. Eid, Ramanujan-Nagell Equation: A Simple Solution, Journal of American Science, 2015;11(7),
  63. Sølve Eidnes, Order theory for discrete gradient methods, arXiv:2003.08267 [math.NA], 2020. (A000151)
  64. S. Eilers, The LEGO counting problem, Amer. Math. Mnthly, 123 (May 2016), 415-426.
  65. Søren Eilers and Rune Johansen, Introduction to Experimental Mathematics, 1st ed., Cambridge University Press, 2017, ISBN-10: 1107156130.
  66. C Elsholtz, G Harman, On Conjectures of T. Ordowski and ZW Sun Concerning Primes and Quadratic Forms, in C. Pomerance and M. T. Rassias, eds., Anaytic Number Theory, Springer 2015, pp. 65-81.
  67. Eising, Jaap, David Radcliffe, and Jaap Top. "A Simple Answer to Gelfand’s Question." The American Mathematical Monthly 122.03 (2015): 234-245.
  68. Rob Eisinga, Rainer Breitling and Tom Heskes, The exact probability distribution of the rank product statistics for replicated experiments, FEBS Letters, 2013, 587: 677-682, doi:10.1016/j.febslet.2013.01.037
  69. Rob Eisinga, Tom Heskes, Ben Pelzer and Manfred Te Grotenhuis, Exact p-values for pairwise comparison of Friedman rank sums, with application to comparing classifiers, BMC Bioinformatics (2017) 18:68 doi:10.1186/s12859-017-1486-2
  70. Remi Eismann, Decompostion into weight * level + jump and application to a new classification of primes (2007), arXiv:0711.0865.
  71. T. Eisner and R. Nagel, Arithmetic progressions-an operator theoretic view, Discrete and continuous dynamical systems series S, Volume 6, Number 3, June 2013 pp. 657-667; doi:10.3934/dcdss.2013.6.657
  72. Wiktor Ejsmont, Franz Lehner, The Trace Method for Cotangent Sums, arXiv:2002.06052 [math.CA], 2020. (A000032)
  73. Wiktor Ejsmont, Franz Lehner, The Free Tangent Law, arXiv:2004.02679 [math.OA], 2020. (A000828)
  74. Bryan Ek, Lattice Walk Enumeration, arXiv:1803.10920 [math.CO], 2018. (A001764, A002293, A060941, A293946, A300386, A300387, A300388, A300389, A300390, A300391, A300998, A301379, A301380, A301381)
  75. Bryan Ek, Unimodal Polynomials and Lattice Walk Enumeration with Experimental Mathematics, arXiv:1804.05933 [math.CO], 2018. (A000984, A001764, A002293, A002522, A060941, A293946, A300386, A300387, A300388, A300389, A300390, A300391, A300998, A301379, A301380, A301381, A301386, A302612, A302644, A302645, A302646)
  76. Shalosh B. Ekhad, Automated Generation of Anomalous Cancellations, arXiv:1709.03379 [math.HO], 2017.
  77. Shalosh B. Ekhad, Nathaniel Shar, and Doron Zeilberger, The number of 1...d-avoiding permutations of length d+r for SYMBOLIC d but numeric r, arXiv:1504.02513, 2015.
  78. Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, A Meta-Algorithm for Creating Fast Algorithms for Counting ON Cells in Odd-Rule Cellular Automata, arXiv:1503.01796, 2015.
  79. Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, Odd-Rule Cellular Automata on the Square Grid, arXiv:1503.043249, 2015.
  80. Shalosh B. Ekhad, N. J. A. Sloane, and Doron Zeilberger, Automated Proof (or Disproof) of Linear Recurrences Satisfied by Pisot Sequences, arXiv:1609.05570, 2016.
  81. Shalosh B. EKHAD and Mingjia YANG, Automated Proofs of Many Conjectured Recurrences in the OEIS made by R.J. Mathar, HTML, July, 2017, arXiv:1707.04654
  82. S. B. Ekhad and D. Zeilberger, Proof of Conway's Lost Cosmological Theorem, Electronic Research Announcements of the Amer. Math. Soc. 3 (1997) 78-82.
  83. Shalosh B. Ekhad and Doron Zeilberger, "There are More Than 2n/17 n-Letter Ternary Square-Free Words", J. Integer Sequences, Volume 1, 1998, Article 98.1.9.
  84. Shalosh B. EKHAD and Doron ZEILBERGER, Automatic Solution of Richard Stanley's Amer. Math. Monthly Problem #11610 and ANY Problem of That Type, Arxiv preprint arXiv:1112.6207, 2011
  85. S. B. Ekhad and D. Zeilberger, Computational and Theoretical Challenges on Counting Solid Standard Young Tableaux, Arxiv preprint arXiv:1202.6229, 2012
  86. Shalosh B. EKHAD and Doron ZEILBERGER, Automatic Counting of Tilings of Skinny Plane Regions, Arxiv preprint arXiv:1206.4864, 2012
  87. Shalosh B. Ekhad, Doron Zeilberger, How to generate as many Somos-like miracles as you wish, arXiv:1303.5306
  88. Shalosh B. Ekhad and Doron Zeilberger, Automatic Proofs of Asymptotic Abnormality (and much more!) of Natural Statistics Defined on Catalan-Counted Combinatorial Families, arXiv:1403.5664, 2014.
  89. Shalosh B. Ekhad and Doron Zeilberger, Enumerative Geometrical Genealogy (Or: The Sex Life of Points and Lines), arXiv:1406.5157, 2014.
  90. Shalosh B. Ekhad, Doron Zeilberger, There are (1/30)(r+1)(r+2)(2r+3)(r^2+3r+5) Ways For the Four Teams of a World Cup Group to Each Have r Goals For and r Goals Against [Thanks to the Soccer Analog of Prop. 4.6.19 of Richard Stanley's (Classic!) EC1], arXiv:1407.1919, 2014.
  91. Shalosh B. EKHAD and Doron ZEILBERGER, The Generating Functions Enumerating 12...d-Avoiding Words with r occurrences of each of 1 , . . . , n are D-finite for all d and all r,, 2014; also arXiv preprint arXiv:1412.2035, 2014
  92. S. B. Ekhad, D. Zeilberger, The Method(!) of GUESS and CHECK, arXiv preprint arXiv:1502.04377, 2015
  93. SB Ekhad, D Zeilberger, Explicit Expressions for the Variance and Higher Moments of the Size of a Simultaneous Core Partition and its Limiting Distribution, arXiv preprint arXiv:1508.07637, 2015
  94. SB Ekhad, D Zeilberger, Computerizing the Andrews-Fraenkel-Sellers Proofs on the Number of m-ary partitions mod m (and doing MUCH more!), arXiv preprint arXiv:1511.06791, 2015
  95. SB Ekhad, D Zeilberger, On the number of Singular Vector Tuples of Hyper-Cubical Tensors, arXiv preprint arXiv:1605.00172, 2016
  96. Shalosh B. Ekhad, Doron Zeilberger, Going Back to Neil Sloane's FIRST LOVE (OEIS Sequence A435): On the Total Heights in Rooted Labeled Trees, arXiv preprint arXiv:1607.05776, 2016
  97. SB Ekhad, D Zeilberger, A Treatise on Sucker's Bets, arXiv preprint arXiv:1710.10344, 2017
  98. Shalosh B. Ekhad, Doron Zeilberger, D. H. Lehmer's Tridiagonal determinant: An Etude in (Andrews-Inspired) Experimental Mathematics, arXiv:1808.06730 [math.CO], 2018. (A003116, A039924) We learned about Lehmer's Theorem 1 via serendipity, thanks to that amazing tool that we are so lucky to have, the On-Line Encyclopedia of Integer Sequences [S] (OEIS). ... the present paper is yet another paper that owes its existence to the OEIS!
  99. Shalosh B. Ekhad, Doron Zeilberger, In How many ways can I carry a total of n coins in my two pockets, and have the same amount in both pockets?, arXiv:1901.08172 [math.CO], 2019. (A001971, A001973, A001975, A001977, A001979, A001981, A004526, A323825)
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